Trust me, nobody hates your puny budget more than the professionals tasked to perform the miracles you can't live without. Million-dollar budgets aren't better either. They just come with million-dollar headaches.
My dear, if you consider going the masculine route to your tablescape, you may be surprised just how beautiful it can look. Using non-showy elements can keep costs down dramatically.
The green and white design here uses orchids, which are relatively inexpensive to begin with. Add some stock, anthuriums and a cascade of amaranthus with the sleekness of slender vessels and you've got a sterling centerpiece.

Budget Bottom-line:

$15 Glass vases (rented)

$40 Flowers (per vase)

$25 Flowers (table florals)

$10 Candles

$100 Chiavari (rented)

$38 Misc (20% of itemization)

= $228 (per table)

Considering you have 15 tables at $228 each, that's $3,420, which is less than $5000. Remember, your tablescape budget should account for 10 percent of your wedding budget. It's okay to go higher, but you must make adjustments elsewhere.

Last, but not least, my darlings, If you have a design dilemma or need help, feel free to ask. I am glad to help where I can.